2 years ago

Find the indicated sum of the geometric series. ∑6k=1−3(2)k−1

1 answer:

6 0

$\displaystyle\sum_{k=1}^63\times2^{k-1}=3\frac{1-2^6}{1-2}=189$

Or, if that hyphen between the lower index and 3 is actually a negative sign, then the sum is -189.

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Express in simplified exponential notation. x3 • x5 =

Darya [45]

$x^3 \times x^5 = x^{3+5} =\boxed{\bf{x^8}}}$

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2 years ago

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The population in Rochester, New York, was 219,773 people in 2000 and 210,565 people in 2010. By about what percent did the popu

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The population shrank by 23.86762%

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2 years ago

In a given amount of time, Jamie drove four times as far as Rhonda. Altogether they drove 125 miles. Find the number of miles dr

lbvjy [14]

Answer:

Step-by-step explanation:

Theres a ratio of 1:4

Where Jamie has driven 4 times as much as Rhonda

meaning that you can plug in values, 1:4=125

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Rhonda drove 25 miles, and Jamie drove 100 miles

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2 years ago

if there are 300 calories in 100 g of a certain food, how many calories are there in a 30 g portion of food

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Answer:

90 calories

Step-by-step explanation:

Calories : quantity of food

there are 300 calories in 100 g of a certain food

300 calories : 100 g food

how many calories are there in a 30 g portion of food

Let x = number of calories

x calories : 30 g food

Equate both ratios

300 calories : 100 g food = x calories : 30 g food

300/100 = x/30

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2 years ago

Solve the equation for y. Then find the value of y for each value of x. y+2x=5; x= -1, 0, 4

antiseptic1488 [7]

Answer:

y = 3, y = 5, y = -1

Step-by-step explanation:

What you do is you substitute the x values into the x.

y + 2(-1) = 5

y + -2 = 5

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y + 2(0) = 5

y = 5

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y + 6 = 5

y = -1.

7 0

3 years ago